Question

Write the sum using summation notation, assuming the suggested pattern continues.

-10 - 2 + 6 + 14 + ... + 110

Answer 1

keep adding 8

Answer 2

first you need to know the number of terms, 110 is what term in the sequence:
\[\Large{
a_n=a_1+d(n-1)\\
110=-10+8(n-1)\\
110=-18+8n\\
n=\frac{128}{8}=16
}\]

Answer 3

the terms of your sum is an arithmetic sequence
an = a1 + (n-1)*d
an = -10 + (n-1)*8
an = -10 + 8n - 8
an = 8n -18